Turito Academy

Test Prep

Global form fields

Write the solutions to the given equation. Rewrite them as the linear-quadratic system of equations and graph them to solve. <img src="data:image/png;base64,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" class="Wirisformula" alt="5 minus 0.5 x squared equals negative 0.5 x plus 2" width="164" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«mo»§#8722;«/mo»«mn»0.5«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mo»§#8722;«/mo»«mn»0.5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/math»'/>

Solution for the question - write the solutions to the given equation. rewrite them as thelinear-quadratic system of equations and graph them to solve.5-0.5x^(2

Write the solutions to the given equation. rewrite them as the-Turito

PSAT

One-On-One Tutoring

Your gateway to the top global universities

Coding

Discover traits & skills, get a clear pathway to academic success.

Discovery Program

Prove the following statement. The length of any one median of a triangle is less than half the perimeter of the triangle.

Solution for the question - prove the following statement. the length of any one median of a triangleis less than half the perimeter of the triangle.

Prove the following statement. the length of any one median of -Turito

Correct answer a) Title, 6) Table of Content d) Picture of and Captions Explanations - Text features refer to parts of a text but don't necessarily appear directly within the main body

Select the three most common text features

Solution for the question - select the three most common text features pictures and captionstable of contentmapstitle

Select the three most common text features-Turito

Hint: Linear inequalities are expressions where any two values are compared by the inequality symbols&lt;,&gt;,≤&amp;≥ . We are asked to solve the inequality. Step 1 of 1: Rearrange and solve the inequality, <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3.5 x plus 19 greater or equal than 1.5 x minus 7 end cell row cell 3.5 x minus 1.5 x greater or equal than negative 7 minus 19 end cell row cell 2 x greater or equal than negative 26 end cell row cell x greater or equal than fraction numerator negative 26 over denominator 2 end fraction end cell row cell x greater or equal than negative 13 end cell end table" width="173" height="132" style="vertical-align:-61px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mn»3.5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»19«/mn»«mo»§#8805;«/mo»«mn»1.5«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3.5«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mn»1.5«/mn»«mi»x«/mi»«mo»§#8805;«/mo»«mo»§#8722;«/mo»«mn»7«/mn»«mo»§#8722;«/mo»«mn»19«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»§#8805;«/mo»«mo»§#8722;«/mo»«mn»26«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#8805;«/mo»«mfrac»«mrow»«mo»§#8722;«/mo»«mn»26«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»§#8805;«/mo»«mo»§#8722;«/mo»«mn»13«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Note: Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. We could also solve the inequality by graphing it.

Solution for the question - solve3.5x+191.5x-7

Solve3.5x+191.5x-7-Turito

Correct answer a) unattractive. Explanation-Negative adjectives  are  the word  that explains / pronounce negatively.

Choose the negative adjectives starting with  ' u '

Solution for the question - choose the negative adjectives starting with ' u ' usefulurbanalterunattractive

Choose the negative adjectives starting with ' u '-Turito

<ul type="disc">
<li>Step-by-step explanation: </li>
</ul> <ul type="disc">
<ul type="circle">
<li>Given:</li>
</ul>
</ul>In triangle, a = x + 11, b = 2x + 10, and c = 5x - 9. <ul type="disc">
<ul type="circle">
<li>Step 1:</li>
<li>First check validity.</li>
</ul>
</ul>
According to triangle inequality theorem, c - b &lt; a &lt; b + c, (5x – 9) – (2x + 10) &lt; x + 11 &lt; (2x + 10) + (5x – 9) 3x - 19 &lt; x + 11 &lt; 7x + 1 First consider,  x + 11 &lt; 7x + 1, 11 – 1 &lt; 7x - x  10 &lt; 6x <img src="data:image/png;base64,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" class="Wirisformula" alt="10 over 6" width="28" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»10«/mn»«mn»6«/mn»«/mfrac»«/math»'/> &lt; x, 1.6 &lt; x Now, consider, 3x - 19 &lt; x + 11 3x - x &lt; 11 + 19 2x &lt; 30 x &lt; <img src="data:image/png;base64,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" class="Wirisformula" alt="30 over 2" width="28" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»30«/mn»«mn»2«/mn»«/mfrac»«/math»'/> , x &lt; 15 therefore, 1.6 &lt; x &lt; 15 <ul type="disc">
<li>Final Answer: </li>
</ul>Hence, all numbers between 1.6 and 15 are possible values of x.

Solution for the question - describe the possible values of x.

Describe the possible values of x.-Turito

Write the solutions to the given equation. Rewrite them as the linear-quadratic system of equations and graph them to solve. <img src="data:image/png;base64,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" class="Wirisformula" alt="x squared plus 1 equals x plus 3" width="101" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»1«/mn»«mo»=«/mo»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/math»'/>

Solution for the question - write the solutions to the given equation. rewrite them as thelinear-quadratic system of equations and graph them to solve. x^(2)+1=

Answer: <ul type="disc">
<li>Hints:</li>
<ul type="circle">
<li>Triangle inequality theorem</li>
<li>According to this theorem, in any triangle, sum of two sides is greater than third side,</li>
<li>a &lt; b + c</li>
</ul>
</ul>b &lt; a + c c &lt; a + b <ul type="disc">
<ul type="circle">
<li>while finding possible lengths of third side use below formula</li>
</ul>
</ul>difference of two side &lt; third side &lt; sum of two sides <ul type="disc">
<li>Step-by-step explanation: </li>
</ul> <ul type="disc">
<ul type="circle">
<li>Given:</li>
</ul>
</ul>In triangle, sides are 5 inches and 12 inches. a = 5 inches, b = 12 inches. <ul type="disc">
<ul type="circle">
<li>Step 1:</li>
<li>Find length of third side.</li>
</ul>
</ul>According to triangle inequality theorem, c &lt; a + b ∴ c &lt; 5 + 12 c &lt; 17 <ul type="disc">
<ul type="circle">
<li>Step 2:</li>
</ul>
</ul>difference of two side &lt; third side &lt; sum of two sides b – a &lt; c &lt; a + b 12 – 5 &lt; c &lt; 5 + 12 7 &lt; c &lt; 17 Hence, all numbers between 7 and 17 will be the length of third side. <ul type="disc">
<li>Final Answer: </li>
</ul>Hence, all numbers between 7 and 17 will be the length of third side.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides. 5 inches, 12 inches

Solution for the question - describe the possible lengths of the third side of the triangle given thelengths of the other two sides. 5 inches, 12 inches

Describe the possible lengths of the third side of the triangle-Turito

Correct answer a) Mice Explanation-Mice Words which are used as names of persons, animals, places or things are called Common nouns

Identify the common noun in the given sentence "The mice are afraid of a cat"

Solution for the question - identify the common noun in the given sentence "the mice are afraid of acat" ofafraidaremice

Identify the common noun in the given sentence "the mice are af-Turito

Hint: If the LHS or RHS of two equations are equal, then we could equate them. An equation is a mathematical statement, where we equate two equal expressions. We are asked to find how many solutions the given equations have. Step 1 of 2: The equations are: <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals x straight &amp; y equals x squared" width="93" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mi»x«/mi»«mi mathvariant=¨normal¨»§#38;«/mi»«mi»y«/mi»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/math»'/> Here, the LHS of the equations are equal. So, we have: <img src="data:image/png;base64,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" class="Wirisformula" alt="x equals x squared" width="47" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/math»'/>. Step 2 of 2: Solving them, we get: <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x minus x squared equals 0 end cell row cell x left parenthesis 1 minus x right parenthesis equals 0 end cell row cell x equals 0 end cell row cell left parenthesis 1 minus x right parenthesis equals 0 end cell row cell 1 equals x end cell end table" width="94" height="112" style="vertical-align:-50px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mi»x«/mi»«mo»§#8722;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»(«/mo»«mn»1«/mn»«mo»§#8722;«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»(«/mo»«mn»1«/mn»«mo»§#8722;«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»1«/mn»«mo»=«/mo»«mi»x«/mi»«/mtd»«/mtr»«/mtable»«/math»'/> Corresponding to these values, we get: <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals 0 straight &amp; y equals 1" width="83" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»0«/mn»«mi mathvariant=¨normal¨»§#38;«/mi»«mi»y«/mi»«mo»=«/mo»«mn»1«/mn»«/math»'/> Thus, we have two solutions for the given set of equations. Note: We could find the number of solutions for a given set of equations, by analyzing the power of the equation.

How many solutions does the given system of equations have? y=x &amp; y=x2

Solution for the question - how many solutions does the given system of equations have? y=x & y=x2

How many solutions does the given system of equations have? y=x-Turito

Step by step solution: Let us denote the length by x. Let us denote the area by y. From the table, we can observe that there is a different and unique value of y for every x. This gives that the given relationship is a function. Next, we draw the graph of the function to check its linearity. We construct the following table <table border="1" cellspacing="0" cellpadding="0">
<tbody>
<tr>
<td valign="top" width="88">x </td>
<td valign="top" width="88">0 </td>
<td valign="top" width="88">1 </td>
<td valign="top" width="88">2 </td>
<td valign="top" width="88">3 </td>
<td valign="top" width="88">4 </td>
<td valign="top" width="88">5 </td>
</tr>
<tr>
<td valign="top" width="88">y </td>
<td valign="top" width="88">0 </td>
<td valign="top" width="88">1 </td>
<td valign="top" width="88">4 </td>
<td valign="top" width="88">9 </td>
<td valign="top" width="88">16 </td>
<td valign="top" width="88">25 </td>
</tr>
</tbody>
</table> We plot the above points in the following graph. <img src="data:image/png;base64,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" alt="" width="481" height="283" /> Clearly, the graph is not a straight line. Hence the given relationship between length and area is not a linear function.

How can you determine whether the relationship between side length and area is a function? <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmkAAAAuCAYAAABzs44vAAAgAElEQVR4nO3dd3hUVfrA8e+dmkmb9BAgJLQQWqgSOkgRLNh1LaDuIu6quKK7rrvuby2LqCuuoC7qYheUEoqIi4B0CE0InQQICaT3On3m3vv7I4ANDJIJQ8bz4eHJk5lJ8ubkzrnv6ZKqqiqCIAiCIAjCFUXj6wAEQRAEQRCEn9Jd6AlZlnG73YiONu9RVRVJki74uSAIv06iLmgeolybjyhb7zlbllqtFr1e/4NyvWCStmfPHt5++23q6urEH8KLtFotGo0GWZZRFMXX4fgVnU6HRqMRjQsv0+l0SJKEx+MR5epFZytlAI/H4+No/MePy1WSJHHdeolGo0Gr1aIoCrIs+zocvyLLMqmpqTzwwAO0bt363OMXTNIyMzNZuXIlvXv3pk2bNuIP4gU6nY7MzEyOHDlCv379SExMFOXqRRkZGVRXVzN8+HAMBoOomL1Ao9Gwb98+SkpKGD58OIGBgaJcvUCj0VBXV0d6ejomk4kRI0bgcrl8HVaLJ0kSdrudHTt2IEkSI0eOFAmwl2i1WvLy8sjIyKB9+/b06dMHt9vt67D8gl6vZ+fOnZSXl3PjjTdeXJImyzIpKSnMnj2blJSUyxLor0FaWhrvvPMOL7zwAsOGDfN1OH7lhRdeYM+ePaSlpfk6FL8yc+ZM1q1bx+eff47JZPJ1OH6jqqqKJ598ErPZzBtvvOHrcPyG3W7n8ccfB2Du3Lk+jsa/pKenM2PGDG655RamTJni63D8ypw5c1i6dOlPGsEXXDhwdnjDZrOd93lFkfF4PMhyw0ePLOOTBraq4HY5sdnsuNxXfq+U2+3G5XJht9sbfa2qKHg8HhTRc3FRbDYbLpcLq9XayCtVFEUR5XqRzparxWL5+ReqKrIsIysKomQbZ7PZcDgcF9Wbrp4ZXhLXbOOsVitOp/OX9UyqKqqi+OYe1oI4nU6cTudF9aCpZ+uDM//FtfvzLjRN54I9aT9LtlNw/Aj7M3PwSHpUWSEkuh0pvXvRymxoaqwXRVUVJEmDvaqQlfPfZv66HEbdO5Vpd/lH75TiqCPn2BGO5dfSOqkbPZLaofd1UC1Ao/MnFQ815YXknC5GH9aapM7tMIopl41qtFxVF8WnjnPocDZyUCxdu3UjsZX58gTn51zWSrKzjnA8r4bohCR6dO+CWVy0F3Qpc6jrywo5XVxJWLsk2kaI3uKmkynJPcqBA1nUeVRMobF0T+lFh7gwXwfW4lzaFhySBK5atqTN4e5bb+WZNxZSWO++fK0Qj43CnONknS4CUzAa3JTk5VJY3khLv6Wwl/L1gneZOWc+e/ft5JO3XuejL3chlhk0XWX+MT5//e/cc/fdTJ/7JXWicecFMlnbv+SZRx7gnkkTueX6cUx69B9sOlru68BaPNlazKp5s3lw0j3ce9dtXHfz3bz26WrOP74hXBK5kpXvvcSDj/4fW05W+ToavyBXHGfhm89z772TuH/SfTz77484UuL0dVgt0qUlaZoA2vUazcTfTmR4/37cdNeD/PaGwcSFXaAXTVVRZBlFUX/0sIpKQ6+Yct4hEhVF+enXWQozWfPVCtL3ncYUGE7q0Kvp0zEW7ZnVkmoLH27Zt34Zny7fStfrH+PZfzzLuF5mVn70LqsOVfs6tBYvMqE7E383hZuHdgXVg1i43HT1Rcf4dl8uA+77FyeLSvjqzT9StWc5b368nHpfB9fCVVbUEtp+BB+tP0JR1gYm9Qlk9bKVHCu78qd2tBTZGdv56pstWAggyHhpg0vC9znY/e1hgnvfw8EaB3aHg31rP2ZCn1hfB9YiNemKVGQ3kqRFln+mj0dxUVFSQM6pIqSgaDp0aE9kiB5LdRklFfUEBJvROqvJK60lOr497VtH0XDflKkqKyTnZB5KQAQJiQlEhJjAVsLKBe8z+9PtDLm3FaMHdcHpdqOiQZVdlJaf5vTJMqLbdSChdWTL263XXcyubdsptpnpMyAJ0NCpY1cC6tezdtMObuh5na8jbPECg4MJCQ5EKwEqIBK1JnGqRnpfPYG2ScmY9TDmptv5zd4jpFdVYHNByOWZAeGXYhKSGZWQ3PCJsx1DxoxCLoghJlTr28D8ROXJ/Rw8kU9st8H0LHXhbAHzmq90juIs1i7/hM+2V3Gyyso9t4ynZ/sYUc1eoqY1G1QaWY7v4NC21az85lusLitHDhwmNvU3PDlxCBvee46ZSw4yYMIkbhuawKalizit6cDTL73MsMQgsnev4oNPllFBBEZXGYUVVhJ6DCK1fw8ssgRuC7nHjpJ1sg/ttDokj4XszAOkb6tlzYI0CvXJPDPjBQYnBjfpV7zc5IpCcnMLcQT2IS68IcUMjwjBqHVRcPIUCuKYiKZSVVVMYvWiqDYdiWrz3ed2qw1DcBQ923UjUiRoXqBSU3KSL+d9wLYchVse/g1tAnwdkx+wFbF77wGcoZ0ZN1zlw3lbW/QIzJXCowml79Ax5NWu4fOXHmPBwtG8NPMV7h2R5OvQWqRmvd8XH9zKilVbCe9zOzP+NZupE0eQsXQuaRkWrrn+ZnrHmwlu1Ynb7pjEnx6+m+D6LNbvzAY5n+XzFnC0rg3Pzvk3//j9HRgqczldp2P8TddydepQ+vfswXW/eYDxg1MIlGQcLoXItp24+ZYHeHLKvQRXHmLj7iPN+es1C6fdhtXuRB9kwnSmsazR6tCooNjFTBRvEa265qJw+FgudlMiN10/pomtQAFAsVbw7boVfLZoKcuXL+TzRcs47SfTb31H5tDeDPKqJFJHjSRIdeJWL23RgfBDwbEdmHDfND5Y9DVb185jkCGT1195je0FYh/AS9GsSVphQQ4ZuzbxxaJ3eWLa48xfuQdNWCSS4iI0KoY2rWKIjDSjAbR6AwajAbfDCU4b9fU2VMmAFjCHR5CYEIPJqMEION1OHE4XTpcDaJjTpgsIJiq8YXhTp9MQYJRwOFveREWdXo/RoAdZ4exUPI/bjVtR0AQE+jY4QWhEde4BjuZW0W3kBIZ1bFm92FcqTVA0Yyf+iTXbNvPqQyPY+8WHLFp7wNdhtWhVOfs4eKKINj2H0CFQh9Uho9VoEIfAeFdC3xv5018eIV4qY++eY74Op0VqckP3fA0P1eXC5ayjtLQMY2wSNz72PA8MiUFWVBx2Gx5FT82Rdbhl5XtHI52d9C9DYCeGDO/LwRWHWbPpOL0dJyixBtKzV18CoSF5kb7f6pEaFieoZ77HmX8tkSEyhtatYtBkV1JpgwQD1NdZcCl6otu1EUOdXiVazd7krMpjz75MQjoN5PrRKYCKKnonvCcgjhvuvIe9p96nsqAY6OXriFooO/t2bOPrVVuJL6nnxG4nR3Zs4ejxfL5euoj2wbeRmhzv6yD9Rny7LvRNycOkFxnwpWhSkqaioijq9+alNWRPJfk5nC6pIDCyLbra1axZ8QVje08hxl1Cxu59OMM700Wvge+vwjwzv60hadPSc+Aohp0sZ9OnM9ljjmL05Ke59bqB536KqqqoZxYsqOqZxEz9fmRqy9yYMDCR/qm92HZqDwcOF9N3aCtyC/LxmBIYltrH19H5BUlVz6wsFpWGtziri9iz5zBqbDLXDO6DZK2isLoeVRdGW7Ff2iVTZA9uj4xGq0Ov02J3qsS160Tbrh18HVrLpRoZcO1dtO01HItdQW+SMdQVcSLPTddevencOtLXEbZosseNx6Og1evRaTVU1ruJTexKn95iTtqluMQkTcVTX8qJw0c4efoU5vxcssuqCfbYqCnK5Msv1yDHD2Ha5DuoPLaLP7/yN67ZnEaHuEg69RvNw49eQ9mW1RzKOklc53wq3DIFRac5kXUCNeU0bncXNq9aTtqqnSSk9ITKQr5Z8hGFBQXcf//thIeFYNQ6yDx0kFNXRXDs2BGyT2ZT3ymfclmmuCSPYydOoeScpl6GkBa1EEpL6jU3M+pECXtWLSJZ6cy23cfoes1t3DS0na+D8wMqBQX5ZJ3I5VRoPLkFViLbBYk+tSZw1+ax8J2ZzF2WTmhCMp/8R6G2ooKQ9v148MmnadvK1xG2VAon969nycp0YlJGMaxrKLt2ZxGWNIQJo8QN75JJGkIiWtEl4rsLszxjCxHmcjomdyMiVEwruXQO9q1fwtJ1WfQedxN9YjwcLbSSPHA0/dqITYIvxaUlaa56MrZ9w64cG1dPuBG95QhvvPg8GgncDgtacyLX9+qFSRPMbVNfJrZTXz5fsZXgLsOZPPl+EuXTLDpVTvu+g4hQy1ixcCGO8nqS+qYS7ilk2+Fy4pOS6dD2IA6bBVUj4bYU8b+lFejNbfjzXeOYNLGcrdl1HMrMpqLKQWLfVEJ0lXwxfyFqaQ1J/QYR4S7i20P5jOrdsrquA2K7M/mPf2L18sUs/nInV137EDeOHYCY4dN0tQWZbNmxF13b3iTrnGxe9w1xd95MW1G4l6zkdA7FlTbadkxCwoPLI6MLa0ufAUPp2ynC1+G1YBqCQ8MJkOvY+tVC8o73YNjo67ijfxcCRKvCixRad+7JmGtDaR8uliM3TQCxreMJ0+xk3fJF1AwdxTWjr6N9jKhgL9WlJWmGUAZcO4kB105q9KWSKZxhtzzEsFse+t6jnZk0bQY//upHz3wsPJTOylwHv3t5AWN6RJ151ELG9h2cqtOgEMKYOx9mzNkvHDeG3/7oez1EyxYYlcitU/7Crb4OxM+Y23bjvidncJ+vA/Ej8Skj+eu/R/o6DL8U13kAT0wf4Osw/JyGroPG03WQr+PwD/E9R/D0v0b4Ogy/cUWukC/Oy2TDqpWc1rUjKXoYYUaVsrwc7IQxILWHmDwvCIIgCILfazRJ88XKrP7j7uZZczTLv1zPjOfWEtmmPQOGjmLkwF6EmVrUBLPzkiRJrHhrBhpNQ/ouyta7RLk2D1EPNI+z5SrKtnmIcr28LpikSZKEy+WiuLiY0tJSnJdxzzFJoyUqaQiP/nVYw5meioIsy1gri6hTWuKSzQaBgYFUVFTgcDgoKyujrKwMh8Ph67BaPEmSUFWVmpoa7HY7eXl5hISEIMviiJemkCQJnU5HdXU1DoeD/Px8XC4XHo/H16G1eDqdjoKCAqxWKwaDgZqaGurq6nwdVoun1WqpqKjAYrEgSRLl5eU4HI5GTsYRLkZAQABlZWXY7XaqqqqorKzEarX6Oiy/EBwcTFVV1Xmfk9QLXL1paWlMnjwZi8WCTuebUVF/PFZRURRUVUWj0YgWiZedTcq02pbf23olkWUZVVV9Vg/4q++2HBLXrLeJuqB5KErD3qYajeZcD7vgHW63mzFjxvDWW2+RnJx87vEL1rpWq5XOnTvz2GOP0b9/f1wucaRDU5lMJpYtW8aSJUuYMmUKI0aMuKw9lP7qbE/am2++yfHjx3nttdcIDAz83kbJwqXS6/XMmTOHvXv38sorrxAVFSV6KL1Aq9VSVFTE7NmzCQsLY/r06Vgs4qynptJqtVRWVjJr1iwAXn31Vex2u4+j8g9Go5Ft27bxwQcfMHr0aO6//35sNnFUoTcEBgYyd+5c9u/f/5ORigsmabIsExQURM+ePenRo0ezB/lr0bFjR8xmM8nJyXTv3t3X4fiV+Ph4ysvLGTBggOj18aKEhASys7Pp378/ZrPYmNZbYmNjiY6OJjw8nKQkse+Zt9TW1hITE4MkSXTt2tXX4fiViooKwsLCSEhI+EFvj9B0iYmJ7N+//ydD8xfsr5QkCUVRcLvdzR7cr4miKHg8noue1yPmUly8s/OlRO+kd7lcLmRZFr3pXna2HrjY93jDKRlCY9xu9y+qYy+Wqqq/+vpYlmVkWfbuKMWvu0jPOTsV6searbvB7XTikRUMgSbErIBfTlVc1FSWU1HjIDQimpiI0POekyr8UGPz/FRVwWW3UVdvQTIEEh4eKq7Pi/BL5k+67RZqLXYMQWGEBuqbMapfB1WVqa+upKy8Cl1QODGx0QTqxXygC7noa1VV8bgd1NXW4UGPOTIC40+KVUWRPdTXVFFRbcFkjiIu2ux3c6W9TXZaqaysoM6uYA6PJCIsBK1G+sHzFeXl1NhcgJaQsAhiosPRiYL9iWZ6pzvZvXYhr7/1IcfFgqVfTrGxf90SZjz3LC+/8i9e+tds1uzN9XVUfqGuOJsFs55mwvXX8fTsxVSLaWte5mbrkrf43eRHWbaryNfB+AE3WTtW8fqMF5g5698889STvPJ2GiVimlWTuerL2Jj2H+4eP54HnnyVrLqfVgaO6kK+nv8W0x59mH+8+i6b9+eIE38bodhL+eqjVxg/qC9dkrsz+s6pLN6S9YNyO7RxIRPH9Se5SxeS+43lnx+uwSEStPNqliRNqc5n2/8W8M7Hi9m173Rz/Ai/lr1jJXM+SCM09UE+/GAWw1rV8d4bb7EjXwzjNVVgZDuGDBlKj7Yh1Fks/rd82Mcqju9i2ZLF7Cu0YjSKXrSmKjmwiY8/XIwnaQL/ffc9npsyhsNfvcvrH6/1dWgtntYUTu8hw7iqZwLO6jpk6Ye3Q2vREd558W+8npbB2N9PZ/7cmdw9to/oef9ZKgfSN/Jttpsn31nB+oX/JqZkPS+++C+25jRsN2UtPsqJUpmJLywg++QJjh3YyEtTbxbHHl5AsyRp2bmnKK93ondXsWH9er6//kNVZJx2K1arDZvNRl11NfU2JyrgcdqpqSijtLwSq9N9bqha8Tipq6mguKSU6jornha8V1qj1Gq2r19PdqWB1BFXAUF07dELijL48psdvo6uxdMbA+jYpQsd42Mautb9+FK63JyVOezbdwhPaEdSOsTgcor91JrGzaGDuzlQ5KRLtxQAOvcdSmpnM3u/Wcn+Wh+H18Jp9QaiE7vQpVMCwQaVH9xWHEUsnPs6C/faeOS517jn6u5Ioq5onK0INaQtN//uCSZeN5SRt/2Bpx6fhNlVQlZOKQAHd21k0cIl7D9VgWqMIKlDAhHBAT4O/Mrl9Tlpan0ux48X0HXsZB6N+x/z1n7F5ol3cm1SQ55ckZPB+2/MZOMpDUNGDKDuWAZq53H86cFxHF6zmG+2H+J0XgnhXUfyxycepUdEPRuWfs7StXuot1mxaiK4ZfLj3DfaP1dGKpWnOX78NHZjMvExDX+e6KgwAnR2sjOzURkpOn+aSJYVPLIYtPAuC3t2Z1DijmDsuCEsWLYbWdzUmsiDy26lprbm3KahmoBQIiJCsGWXUFrkALO4uTWJ4sF9ngUGmelr+WLtHuJ63Y6xKoOFi9106zeAnh3jRP37cwLi6DOgNd9NoJZBF0ynzp1JSGgF1OH2qEieWpa9+giL3+/GtOdeYupdIzCJgj0vr/ek5Rw9Rl6plR7jf8O4MYMx246zatWmcx0WwdGtiIoIpDA7Ezm6N8+8/G8ev7Er6Us/YfNJLU/M/i+vPX0vJVs+5bX3V3Iqcw9pS74mYsRDzH//eZL1Bcybv4IKP92qyVlXT22dBW1wCMFnUmid0YAOFXd9rej48RJRH3hX3sEMsvJrSRo2lrZhWpxuWSx0aTITiR06E+4pJ33bVmoBR00lxaUVyJIRg1FsM9MsVAtH9u3heJGVuPgEAtxVbFgwiyl/+DMr9hT4Oror25lN2s+laNU55JV7SO43kuGdjUAow2+fSto3O9m2bil3dIP/TH+WD9ce8WXUVzTvvstdFWSePEWdJpT2UXqk+J6kJAaxc8NqDtx7A72jwWSOp3fvgfTIKKdNYkcio2Ix1Z4kc1c6O8rNhL3pwF5ygqp6C7bjB6kIfZgpj/8ZJSyGo7vTOVFYgy5exukBf5wcIGk0aLRaJL5LJGSPB7esIGnFHB/hyuOqOEHGwRMEte1JakIEG751IWk0qKrI0pqq+/AbefR3ucya9xFP/a2cvrFWNu3JIbzPEDq0E0las3DVUFhQSEibXtxyzyTGJEp0iwvlkUeeYe7HXzC6/1RCfB1ji+Bm3+4MLMY2XHfLDQT+4DmJ+JRRvDhTi+2pF9m8ejOTxnUn1EeRXsm8+i6vLjjJ4YwdbDzuJj9rB5Iqk1vtoKIqg/Xp++h9cx8AZNmJoqigNgw51dZbqLVDUq9UrrthNKpT5q4HpmIICiU8OpyigloWf7YaXYiJwPAIPH58HEVAeASx0RFIhTXUuCDeADaLDZeiwRwX21zLcQXhEsns25XOlvS9dBzWio3rvmTnt0cpLs7ncMZOCroG0TYuwtdBtlyGSG74/XMMu/X3VFus7Fv7GVJQHENGjyZB5GjNQ9Ki1xsw6BWkM4cTxiQm0rNLIjtKiyhXIUS0PxqVf3gXx0rdDBp/I73jjKCq/Lh7PbhDd4YOGUxGpRObDKF+2PHSVF6859s4fDSbwI7j+PTLz5kz523+8/Z/mffebIa3svP1F/+j4MwQ5dnO0LN/rrCwUEw6F0WlVQS17kLPHt0IRqGiKJfta+Yxfcb76Hvfzv/9/fcM6ByLx+3x32E/c3tSeiUTqhSTdbJhZnBBcQluXSv69+vp4+D8g3Sum1IS455NphLfpRdDB12F0VbMqfxiqmrqcDjs1FRXU28VK5KbTos5ug2BtgK2bNpFZJ8J/PbWQb4Oyj9IUsP9SJK+yx8MUXRM6oSRWrJP5AEgu11ogs20aRdPjKgzGlWWc4gjp2vpPngsA7vEYLPUUltbh8MpI8se5DNzglWLjcCIVnRP6U6kSNDOy2ttsVO71rDqm+3EDbmP2O89Ht6mA/16dGD1ogW8v2AUz00cSF1tOSUVtdTVN0yGNSX2YvSoAXzx9ze5syCbCQMSqLNKDL3pNqLcFsrq3ASZDNTmZpN1/DQ17mBKymqIbRWK3u82dQxg8DXXszvzfXatXcOIiGR27zlETP+x3HR1N18H5xfq6+ooKy2nMrSaunqIEn3sTaCjdac+3Nqpz7lHtoY7OFFqYMT4m+naKcaHsbV8qipjrSnn0I41fPTJUuytr+af//c48SZfR+YfZEstVZWllFZoqaq2gDkY0DNwzI0M2ZnJxuWfMbrPVCrTd1OmRnLdnTeIrSIaUXR4I+9/8Dl5ciS98/PZtrKG/OJqOl41ngnDOnN4x1bs5iSG9utI3r4DuILbMnLkSMRknvPzSpJWdeoAaYuWsC79BMnaNmzv3Z7BSTGAjYO7trI3t4a4WD3pi99het4mavOP4lQU9q1ZwqaEEEamJDDqrsd5JzCMV9/8hKWrK5j8xF+4bkhP5GIttx46xrpF7xDsuIaU1EFYjtSQV1BG3/gwb4R/xYnoPIyHH9Oz8LOFPPX8JnoMvIa/33Yj8WIhV5PV5h8lbfES9he58FR+y7z5S5l83220FTWvl8gEBoXToUMC4SaxgrapCjJ38NmH88myBHH1fX/l5nGDMYthTq9w1xWzevFiNh4sQnHqWPHJx7SafB8924Zibp/KH5/5G59/PI/n/ziVuM69uO3BJxnTL97XYV/R5No8Nq5ayapvtlDpVNn4PxnZ7SSmxxgG3dqZOKOdpd9uYPmu+WwYOpKrR17N2PEpRIcYfB36Fcsrb/eIxF489fpnPPWTZwLpNWYin4yZ2Pg3MYYz/I5pDL9j2g8fj+vGo/98h0fPPXAbDzU14BYgrstAnvjnQF+H4XfM8d146Lm3eeg5X0fir7T0G3sf/cb6Og7/EN9tKH99baivw/BL+tA4Jjz4NyY8+LfzPh/T8SqmTb/qMkfVsmnN7bj3L69z719ev+Brpr70HlMvY0wtXaNjhb/kzD7h4kiSJMq1GZwtU1G23iXKtXmI8hQEoTEX7ElTVRVJks6dyu5yuS5bUP7KYDDg8XiQJAlFaRgKEuXadJIkodPp0JzZo0dVVTwez7kyFi6dwWBAq9WeK1dZlpFlP92k8DLS6XTIsoxWqz1XnqIuaDqtVouiKGi+twOAKFfvMBgM58pW3L+8y2AwIMvyeRtuF0zS9Ho9BQUFfPjhh2zZsgXPeXZlFn4Zg8HArl27yMnJYcGCBRw4cECUqxelp6dTXFzMq6++SkBAwLkGhnDptFotGzduJDc3l1mzZhEaGiqSXy/QaDRUVVWxf/9+goKCmDVrFna7ODW9qTQaDfX19WRkZCBJEjNnzsTtdvs6LL+g0+nIysrixIkTrF69GofDIZI0LzEajaxevfonDQwASb3AnWzTpk1Mnz6dsrIyUSl7kdFoxGg0YrfbReXhRZIkYTKZ0Gq1WCwWkaB5kclkQq/XY7FYRF3gRRqNhsDAQFRVxWKxiOFPLzlbrgAWi8XH0fgXvV6PyWTC5XLhcDh8HY7fGTduHNOmTaNdu3bnHrtgkiYIgiAIgiD4TpM2GVNVlRaV4qmq6GERBMFrWlwdKAhCi/IzCwcUZI8HWVGRJFCR0Gp16LQNeZ3TWktpSQk21UhsqzjCgo1nNm9XsdZUUl3vwhwdS0hAY9sIK1iqK6mxugmLbkWwsXk2p1U9DqrKSimrdWCOiiU2Kgxts44uqNhqq6iqdxIaGU2o6de0VZ+K7LJTXV2DWwogKiqCS9tzWMXjtFFdXYusNREVGY7Oi5eH7LJRUVGFYgilVVRoo4cPOK21VNbUYwyJIjL04jatUzxOamuqsXs0hEXGEKg/8/6wuAiLjiXYKLbZvhBFdlFXVY3NA2FRMQTqwVpbSVW9C3NkDKEm324Y5qivprS0FKcmkJhWrQgLbN69nlSPg8rKSlyYiImJQOfN+uvMYhtZUdBotOh0uh+f4CMIgg9on3/++efP94SjKo8NKxcxf8kqtm3dws6DJ1ECI2kfF059cTbrvl7BsmVLeP/td9h80k7fgVcRbtQALrYs+g8vv5lGcM8RJMeaQFVQFAVV0pznje9kw2dv8PK7ywjrMZqkGKP3f0tXDRnb1rF02TLS5r3HB8vSCU/qR9c2Zq/+GPXM7ylpNEi4Sf9iLi/OXoSxYyrd2/6KtrV31bAl7W2m/OEpNuepDBsxGPMvuH+pioKKhOqsYv2CN3jwkb+yo0TPyJGpBHvxvlyXvZ3XXtyXtz0AAADCSURBVJ7BulwdY4f2QIuKojT812h+eofK3r6M6S/PotCYzOBucRfxExwc2byUab//Awu2F9Jt6HjiQ91sXvAmr7y1lNCUkXSJEVvHn5+bY9tX8NTDU/h4w0m6Dh9LQihsW/4uL72xiIBOqXRr47tjrmvyj/LN/75g6bJlvDfnbXbmK/QbfBVmr7bFVBRFQVFBI0l4Sg/z9qszWPRtFcOuHkCQFxsstaWn2bp2BctXruXIqSoCI2KICQts/AsFQWhW/w89dtPVNr0jUQAAAABJRU5ErkJggg==" alt="" width="510" height="38" /> If it is a function, say whether it is linear or non linear function ?

Hint: We are given the rate at which water can be emptied from the pool. We are given the initial value of how much water has already been pumped. This information helps us to find a relationship between the quantity of water in the pool and the time taken to pump the water out of the pool. We construct a linear function and we find the time taken to pump out the water from the equation Step by step solution: Let the time (in hours) taken be denoted by x and let the quantity of water in the pool be denoted by y. First, we find a linear function representing the relationship between x and y Given, The rate at which the water is pumped= 720 gallons per hour Quantity of water already pumped out = 2000 gallons The total quantity of water in the pool = 10000 gallons From the slope intercept form of an equation y = mx + c, where m is slope and c is the y-intercept, And using the values m=720 and c =2000, we get <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals 720 x plus 2000" width="124" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»720«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2000«/mn»«/math»'/> We need to pump out 10000 gallons of water, so putting y= 10000 in the above equation, we get 10000 = 720x + 2000 Next, we solve for x, <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK0AAAAkCAYAAAD7ELpTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA3ZJREFUeNrtnDFoFEEUhocjyCFBEBERi4MgIimCYCVBJCAhhUgIWIiVCGIlFnZiJYErJIiIIBIsggghBJEQBJEQxEKQIBZik0Is5BoLCXIcgfMN+Rf3NrO3c7s792Z33wc/3M69HG923s68new+pcx0ExQwSVoh/SF1SF9I12J+8xDpKekT9AxtPnCKdB/+q4z+c9llxcVYetHHK6TnoeNN0lXSKI7HSR/RFuU96XLo+BLafGCJdDNyQab1n8suKy7Gkr2Px0gfSPUEuwbpqyHYHxtsH8WcFC66fS5WG/+57FyRZSy96OMb0hlL23bkWC870wa7KXwX5gapabB9gO84gtbWfy47l7Q9ORcDcws5nw3nsKyE+U06YLDVbS1D+xZm9oDrpCcJwWabh6cJWlv/uexckWUsWfvYQHI8YmFbh+1kpH23z990DG0zpAV8vjjE3DcuaG3957JzQdaxZO3jJqbqJA6TXsdM9bsDLD8B70gXcBd7xOOgbXtgl/eqk8dYuuxj4m7BuoXdGDp5Mub7VswSUO+zBNzBlTZhGWwu0wNb/7ns8iSvsWTpY4303eLm6zS2wQ72sVnBkh9lOibZDvYMF4a8u9DN6D+XXV7kOZYsfZxFapC0DbZske/Oqd793YAXhqAcw06FPnF6z/CzB+mBrf9cdnmQ91iy9PEV7tr7sYar04YNLPkjWA7uGS6Ko0hHwkGqN5qXmIPW1n9Ou6zkPZYsfWwhIU+bS5qS+0Uk13/V3r/qRiNbHKukEzEX0IzjYM3qP7edi3Pg27kQBEEQBEEQBEEQBEEQBEEQBEEQBEEQBEEQVLVqNOjHNfWbqztq7+GSt8r8gFFRay9UnjLWaNBPQs2r/4/wNRFEaf33rfZCpSlrjYboO1M1tf/lv7LVXigUdzMsQWWt0bCjep8z1UH7M6X/Raq9UBj00+s/1P5XmJMoc40GPePdjvj/MKX/Ram9ULibqEDzmFWSKHuNhgn40EGO/ot0PqX/Rai9UFgWEbgvLWzLXKOhgXNwPDTznSVtq97X7L2vS1CVmbZpMdOWvUbDaszv64t0I4X/PtdeqEROW4UaDW3L74pee6Hwuwe2b2RWoUbDt5jVYRy57aD++1h7oVJUoUbDHAJ3CitLDZ+3sWMyqP8u7IQBqEqNBp23byF/biNwZlP478puKPwD5Mg0zK0iy/wAAAErdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5zcGFjaW5nPSIxZW0iPjxtdHI+PG10ZD48bW4+NzIwPC9tbj48bWk+eDwvbWk+PG1vPj08L21vPjxtbj4xMDAwMDwvbW4+PG1vPiYjeDIyMTI7PC9tbz48bW4+MjAwMDwvbW4+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtbyBzdHJldGNoeT0iZmFsc2UiPiYjeDIxRDI7PC9tbz48bW4+NzIwPC9tbj48bWk+eDwvbWk+PG1vPj08L21vPjxtbj44MDAwPC9tbj48L210ZD48L210cj48L210YWJsZT48L21hdGg+sXHJawAAAABJRU5ErkJggg==" class="Wirisformula" alt="table attributes columnspacing 1em end attributes row cell 720 x equals 10000 minus 2000 end cell row cell not stretchy rightwards double arrow 720 x equals 8000 end cell end table" width="173" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨1em¨»«mtr»«mtd»«mn»720«/mn»«mi»x«/mi»«mo»=«/mo»«mn»10000«/mn»«mo»§#8722;«/mo»«mn»2000«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»720«/mn»«mi»x«/mi»«mo»=«/mo»«mn»8000«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Dividing by 720 throughout, we have <img src="data:image/png;base64,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" class="Wirisformula" alt="x equals 8000 over 720 equals 11.11" width="136" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mfrac»«mn»8000«/mn»«mn»720«/mn»«/mfrac»«mo»=«/mo»«mn»11.11«/mn»«/math»'/> Thus, we will need 11.11 hours to empty the pool. Note: We can also solve this problem without the use of functions. There is 10000 gallons of water and 2000 gallons of water is already emptied. So there is (10000-2000=) 8000 gallons of water. It is given that the rate at which water is pumped is 720 gallons per hour. So the time taken is <img src="data:image/png;base64,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" class="Wirisformula" alt="8000 over 720 space equals space 11.11" width="118" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»8000«/mn»«mn»720«/mn»«/mfrac»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mn»11«/mn»«mo».«/mo»«mn»11«/mn»«/math»'/> hours

A 10,000 gallon swimming pool needs to be emptied. Exactly 2000 gallons have already been pumped out of the pool and into the tanker. How can you determine how long it will take to pump all of the water into the tanker. 720 gallons per hour can be emptied from the pool.

Solution for the question - a 10,000 gallon swimming pool needs to be emptied. exactly 2000 gallonshave already been pumped out of the pool and into the tanker.

A 10,000 gallon swimming pool needs to be emptied. exactly 2000-Turito

Correct answer c) Anubha Explanation - Proper noun refers to specific person, place, animal or thing

Identify proper noun in the given sentence Anubha is a wonderful lady?

Solution for the question - identify proper noun in the given sentence anubha is a wonderful lady? aanubhaladywonderful

Identify proper noun in the given sentence anubha is a wonderfu-Turito

A line can intersect a parabola maximum of ___.

Solution for the question - a line can intersect a parabola maximum of ___. four timesthree timestwo timesone time

A line can intersect a parabola maximum of ___.-Turito

Correct answer c) brother Explanation - Simple subject is the single word that is the subject of the verb

Choose the simple subject in the given sentence. "My little brother broke his fingers".

Solution for the question - choose the simple subject in the given sentence. "my little brother brokehis fingers". fingersbrotherhisbroke